166473216 has 240 divisors, whose sum is σ = 592816224. Its totient is φ = 43794432.

The previous prime is 166473199. The next prime is 166473233. The reversal of 166473216 is 612374661.

It is a happy number.

166473216 is a `hidden beast` number, since 1 + 6 + 647 + 3 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166473199) and next prime (166473233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419130 + ... + 419526.

Almost surely, 2^166473216 is an apocalyptic number.

166473216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296408112).

166473216 is an abundant number, since it is smaller than the sum of its proper divisors (426343008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166473216 is a wasteful number, since it uses less digits than its factorization.

166473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166473216 is about 12902.4499999031. The cubic root of 166473216 is about 550.1082057077.

The spelling of 166473216 in words is "one hundred sixty-six million, four hundred seventy-three thousand, two hundred sixteen".